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基于电流反馈运算放大器(CFOA)的混合模式模拟比例积分微分(PID)控制器设计

Design of Mixed-Mode Analog PID Controller with CFOAs.

作者信息

Roongmuanpha Natchanai, Satansup Jetsdaporn, Pukkalanun Tattaya, Tangsrirat Worapong

机构信息

School of Engineering, King Mongkut's Institute of Technology Ladkrabang (KMITL), Bangkok 10520, Thailand.

Faculty of Engineering, Rajamangala University of Technology Rattanakosin (RMUTR), Nakhon Pathom 73170, Thailand.

出版信息

Sensors (Basel). 2024 May 14;24(10):3125. doi: 10.3390/s24103125.

Abstract

The design of a mixed-mode proportional-integral-derivative (PID) controller circuit using current-feedback operational amplifiers (CFOAs) as active components is proposed. With the same circuit topology, the proposed configuration of three CFOAs, four resistors, and two capacitors is capable of performing the PID controller in each of the following four modes: voltage mode, trans-admittance mode, current mode, and trans-impedance mode. Numerous mathematical analyses are conducted to determine the controller's performance under both ideal and non-ideal conditions. Additionally, the mixed-mode second-order lowpass filter is suggested and also used to examine the workability of the proposed mixed-mode PID controller in a feedback control structure. The proposed PID controller is implemented with the commercially available IC-type CFOA AD844, and the simulation results are presented to illustrate the functionality of the controller and its closed-loop control system. According to the findings, the total power consumption of the proposed PID controller is 0.348 W, with symmetrical supply voltages of ±9 V. It also has a temperature variation of less than 0.2% over the AD844's usable range. Monte Carlo statistical analysis results revealed that the gain responses of the controller exhibited a deviation of no more than 7.72% from the theoretical value. The controlled filter in a closed-loop control system has a 43% faster rise time and peak time than the uncontrolled filter in all four modes of operation. It also has a steady-state error less than 0.2 mV for voltage responses and 0.72 µA for current responses.

摘要

提出了一种以电流反馈运算放大器(CFOA)作为有源元件的混合模式比例积分微分(PID)控制器电路设计。在相同的电路拓扑结构下,所提出的由三个CFOA、四个电阻和两个电容组成的配置能够在以下四种模式中的每一种下执行PID控制器:电压模式、跨导纳模式、电流模式和跨阻抗模式。进行了大量数学分析以确定控制器在理想和非理想条件下的性能。此外,还提出了混合模式二阶低通滤波器,并用于检验所提出的混合模式PID控制器在反馈控制结构中的可操作性。所提出的PID控制器采用市售的IC型CFOA AD844实现,并给出了仿真结果以说明控制器及其闭环控制系统的功能。根据研究结果,所提出的PID控制器在±9V对称电源电压下的总功耗为0.348W。在AD844的可用范围内,其温度变化小于0.2%。蒙特卡洛统计分析结果表明,控制器的增益响应与理论值的偏差不超过7.72%。在闭环控制系统中,受控滤波器在所有四种运行模式下的上升时间和峰值时间比未受控滤波器快43%。对于电压响应,其稳态误差小于0.2mV;对于电流响应,稳态误差小于0.72µA。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34c6/11124861/fe25cf52f877/sensors-24-03125-g001.jpg

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